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Gnesinka [82]
2 years ago
15

In the opening scene of the movie Raiders of the Lost Ark, Indiana Jones replaces a golden statue with a bag of sand. The platfo

rm on which the statue is placed is designed to detect the mass of the statue. If the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues.
The density of gold is about 20\text{ g/cm}^320 g/cm
3
20, start text, space, g, slash, c, m, end text, cubed. The density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm
3
2, point, 5, start text, space, g, slash, c, m, end text, cubed. The solid-gold statue can be modeled as a cylinder with height 15\text{ cm}15 cm15, start text, space, c, m, end text and radius 4\text{ cm}4 cm4, start text, space, c, m, end text.
In terms of \piπpi, what is the volume of sand Indiana Jones needs to avoid triggering the mechanism?
Mathematics
1 answer:
chubhunter [2.5K]2 years ago
3 0

Answer:

1920π

Step-by-step explanation:

First, you need to find the volume of the statue in terms of pi.

Volume of cylinder formula:

V=πr²h

V=π4²15

V=π16×15

V=240π

Then, you need to find the mass of the statue.

Mass:

Mass= density × volume

Mass=20×240π

Mass=4800π

Now, you need to find the volume. Since the sand has to weigh the same as the statue, the mass is going to stay the same. To find the volume you need to do:

V=mass of sand/density

V=4800π/2.5

That gives you your answer:

1920π

Note: I had to do the exact same problem on Khan Academy. This is right.

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The base of a triangular prism is an isosceles right triangle with a hypotenuse of
Setler [38]
SA= Lateral Area + Area (of base)

Lateral area = perimeter of base x height

An isosceles triangle has two congruent base segments. The hypotenuse of an isosceles right triangle is (length of base segment) x (the square root of 2). I did the math for you (shown above) to get 5 as a base.

So 5 + 5 + square root of 50 is your perimeter

Multiply the perimeter times your height (8) and you get the lateral area.

Add your lateral area to the base area (triangle = 1/2 bh)

LA = 136.568...
Area of Triangle base = 12.5

Surface area = 149.068... square cm

6 0
2 years ago
Read 2 more answers
Jen picked 3/4 of a gallon of strawberries in a half an hour.If she keeps picking strawberries at the same rate, how many gallon
sp2606 [1]

Answer:

3 gallons.

Step-by-step explanation:

We have been given that Jen picked 3/4 of a gallon of strawberries in a half an hour.

Let us convert our given time in minutes.

1 hour= 60 minutes.

1/2 hour= 30 minutes.

So 2 hours= 120 minutes.

Let us find the number of gallons of strawberries picked by Jen in 30 minutes by dividing 3/4 by 30.

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{\frac{3}{4} }{30}

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{3}{4*30}

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{1}{40}

Now let us multiply 1/40 by 120 to find the number of gallons of strawberries picked by Jen in 120 minutes(2 hours).

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=120*\frac{1}{40}

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=3

Therefore, Jen picked 3 gallons of strawberries in 2 hours.

8 0
3 years ago
The admission fee at a carnival is $5 for children and $8 for adults on Friday, 1250 people attended the carnival and $7300 was
ASHA 777 [7]

Answer:

-> a + c = 1250 ____________ (1)

-> 8a + 5c = 7300 __________(2)

There were 900 children and 350 adults.

Step-by-step explanation:

Let the number of children at the carnival be c.

Let the number of adults at the carnival be a.

The admission fee at a carnival is $5 for children and $8 for adults on Friday.

1250 people attended the carnival and $7300 was collected. This means two things:

-> a + c = 1250 ____________ (1)

-> 8a + 5c = 7300 __________(2)

We now have a system of equations representing the problem.

To solve, make a subject of formula in (1):

a = 1250 - c _______(3)

Put (3) in (2):

8(1250 - c) + 5c = 7300

10000 - 8c + 5c = 7300

10000 - 7300 = 3c

3c = 2700

c = 2700 / 3 = 900

Put the value of c back in (3):

a = 1250 - 900 = 350

Therefore, there were 900 children and 350 adults at the carnival.

4 0
2 years ago
Which statement would produce a tautology?
andreyandreev [35.5K]
Tautology is when something is repeated in a sentence but using different words. It can be used to enrich the sentence but also it can be needless repetition.

5 statements that would produce a tautology:

1. Lets order a toast sandwich. 
2. In my opinion, I think he is right. 
3. The Gobi is a very dry desert.
4. The hurricane hit in 3 p.m. in the afternoon. 
5. Don't worry, everything is well and good.
3 0
3 years ago
4752512944 THATS MY NUMBER BORED:(
krok68 [10]

Answer:

Really? Oof XD You really must be bored then

Step-by-step explanation:

Wanna talk?

Have a nice day!! <3

8 0
3 years ago
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